I was given a question by my professor and I'm confused on how to start due to the fact that $s_2$ can't be bigger than itself?
You roll a pair of standard fair six-sided dice three times, and record the sum of the two faces showing each time. Let these three sums be $s_1, s_2$, and $s_3$. What is the probability that $s_2$ is strictly bigger than both $s_1$ and $s_2$?
Would the answer be $P(s_2) = 0$ because it can never be strictly bigger than itself?